ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

(x^2+3)^2-19(x^2+3)+84=0

解

(x^{2} + 3)^{2} - 19 (x^{2} + 3) + 84 = 0

解

x = 3, x = - 3, x = 2, x = - 2

解答ステップ

(x^{2} + 3)^{2} - 19 (x^{2} + 3) + 84 = 0

拡張

(x^{2} + 3)^{2} - 19 (x^{2} + 3) + 84 : x^{4} - 13 x^{2} + 36

x^{4} - 13 x^{2} + 36 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 13 u + 36 = 0

解く

u^{2} - 13 u + 36 = 0 : u = 9, u = 4

u = 9, u = 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 9 : x = 3, x = - 3

解く

x^{2} = 4 : x = 2, x = - 2

解答は

x = 3, x = - 3, x = 2, x = - 2

グラフ

人気の例

m^3-2m^2-4m+8=0

m^{3} - 2 m^{2} - 4 m + 8 = 0

x^{3} = \frac{- 7}{2}

x^4+3x^3-12x^2+2x-1=0

x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1 = 0

3 x^{3} + x - 10 = 0

x(x-1)(x+2)^3=0

x (x - 1) (x + 2)^{3} = 0